GCF of 4599/450, 6575/5282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4599/450, 6575/5282 i.e 1/1188450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4599/450, 6575/5282.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4599/450,6575/5282?
Given fractions are 4599/450,6575/5282
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4599/450,6575/5282, numerators are 4599,6575
Denominators are 450,5282
The GCF of 4599,6575 is 1 .
LCM of 450,5282 is 1188450.
The greatest common factor of 4599/450,6575/5282 = [GCF of 4599,6575]/[LCM of 450,5282]= 1/1188450
Therefore, the GCF of 4599/450,6575/5282 is 1/1188450.
To find the highest common factor of 4599,6575, we have to find the factors of both numbers and list the highest common factor.
The factors of 4599 are 1, 3, 7, 9, 21, 63, 73, 219, 511, 657, 1533, 4599
The factors of 6575 are 1, 5, 25, 263, 1315, 6575
The HCF of 4599,6575 is 1.
Lets's calculate GCF of 4599,6575
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4599,6575 By Matching Biggest Common Factor Method
Now, list down the factors of 4599
:1,3,7,9,21,63,73,219,511,657,1533,4599
Now, list down the factors of 6575
:1,5,25,263,1315,6575
Greatest Common Factor
We found the factors 4599,6575 . The biggest common factor number is the GCF number.
So the greatest common factor 4599,6575 is 1.
Lets's calculate LCM of 450,5282
| 2 | 450, 5282 |
| 225, 2641 |
∴ So the LCM of the given numbers is 2 x 225 x 2641 = 1188450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1188450
Therefore, the GCF of Fractions 4599/450,6575/5282 is 1/1188450
Least Common Multiple of 450,5282 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 450,5282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,5282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(450,5282) x common factors =2 x 1 = 2
LCM(450,5282) = ( 450 × 5282 ) / 2
LCM(450,5282) = 2376900 / 2
LCM(450,5282) = 1188450
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FAQs on GCF of Fractions of 4599/450, 6575/5282
1. What is the HCF of 4599,6575?
The HCF of 4599,6575 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4599/450, 6575/5282?
Answer: GCF of Numerators as per given numbers 4599/450, 6575/5282 is
GCF of Numerators i.e. for 4599,6575 is 1
LCM of denominators i.e. for 450,5282 is 1188450.
Thus, GCF of Fractions is 1/1188450.Finally, GCF of Fractions for 4599/450, 6575/5282 is 1/1188450.